Remarks on KdV-type flows on star-shaped curves
نویسندگان
چکیده
منابع مشابه
Remarks on Kdv-type Flows on Star-shaped Curves
We study the relation between the centro-affine geometry of starshaped planar curves and the projective geometry of parametrized maps into RP. We show that projectivization induces a map between differential invariants and a bi-Poisson map between Hamiltonian structures. We also show that a Hamiltonian evolution equation for closed star-shaped planar curves, discovered by Pinkall, has the Schwa...
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ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 2009
ISSN: 0167-2789
DOI: 10.1016/j.physd.2009.01.007